		Search-engine friendly clone of the ACL2 documentation.

Iconst

Iconst->length

Get the length field from a iconst.

Signature
(iconst->length x) → length
Arguments: x — Guard (iconstp x).
Returns: length — Type (iconst-lengthp length).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: iconst->length$inline

(defun iconst->length$inline (x)
  (declare (xargs :guard (iconstp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'iconst->length))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (iconst-length-fix (cdr (std::da-nth 3 (cdr x)))))
         :exec (cdr (std::da-nth 3 (cdr x))))))

Theorem: iconst-lengthp-of-iconst->length

(defthm iconst-lengthp-of-iconst->length
  (b* ((length (iconst->length$inline x)))
    (iconst-lengthp length))
  :rule-classes :rewrite)

Theorem: iconst->length$inline-of-iconst-fix-x

(defthm iconst->length$inline-of-iconst-fix-x
  (equal (iconst->length$inline (iconst-fix x))
         (iconst->length$inline x)))

Theorem: iconst->length$inline-iconst-equiv-congruence-on-x

(defthm iconst->length$inline-iconst-equiv-congruence-on-x
  (implies (iconst-equiv x x-equiv)
           (equal (iconst->length$inline x)
                  (iconst->length$inline x-equiv)))
  :rule-classes :congruence)